Atkin-Lehner |
3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11505d |
Isogeny class |
Conductor |
11505 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.0320175687473E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5267921,4627615650] |
[a1,a2,a3,a4,a6] |
j |
16167448182927744742109329/103201756874726285295 |
j-invariant |
L |
0.56914430993525 |
L(r)(E,1)/r! |
Ω |
0.18971476997842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34515i2 57525b2 |
Quadratic twists by: -3 5 |